Proof of the Broué–Malle–Rouquier Conjecture in Characteristic Zero (After I. Losev and I. Marin—G. Pfeiffer)
We explain a proof of the Broué–Malle–Rouquier conjecture on Hecke algebras of complex reflection groups, stating that the Hecke algebra of a finite complex reflection group W is free of rank |W| over the algebra of parameters, over a field of characteristic zero. This is based on previous work of L...
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| Format: | Article |
| Language: | English |
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Springer International Publishing
2019
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| Online Access: | https://hdl.handle.net/1721.1/122944 |
| Summary: | We explain a proof of the Broué–Malle–Rouquier conjecture on Hecke algebras of complex reflection groups, stating that the Hecke algebra of a finite complex reflection group W is free of rank |W| over the algebra of parameters, over a field of characteristic zero. This is based on previous work of Losev, Marin– Pfeiffer, and Rains and the author. Keyword: Hecke algebra ; Complex reflection group ; Broué–Malle–Rouquier conjecture |
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